appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line to x2 - 3xy + y2 = -1 at (2, 1). %3D Solution: Implicitly x2 - 3xy + y2 = -1 yields 2х-3(х° 0. %3D +y•1)+2y dx (x, y) with (2, 1) gives dy 2) - 3 2. dx dx dy =0 - 6-3+25 dx %3D dx 1-4 = 0 dx dy de Therefore, the slope of the tangent line is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Directions: Study the guided solution to the given function. Fill in the blanks with the
appropriate words, numbers or symbols to complete the solution.
Find the slope of the tangent line to x² - 3xy + y? = -1 at (2, 1).
%3D
Solution:
Implicitly
x² - 3xy + y? = -1 yields
dy
+ y•1)+2y.
dx
2х-3(х°
0.
%3D
-
(x, y) with (2, 1) gives
2) - 3 24
dy
+.
+2(1)• = 0
dx
dy
%3D
dx
dy
62-3+25
dx
dy
%3D
dx
dy
1-4
dx
%3D
dy
dx
Therefore, the slope of the tangent line is
Transcribed Image Text:Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line to x² - 3xy + y? = -1 at (2, 1). %3D Solution: Implicitly x² - 3xy + y? = -1 yields dy + y•1)+2y. dx 2х-3(х° 0. %3D - (x, y) with (2, 1) gives 2) - 3 24 dy +. +2(1)• = 0 dx dy %3D dx dy 62-3+25 dx dy %3D dx dy 1-4 dx %3D dy dx Therefore, the slope of the tangent line is
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